What is the name of this ballet step? I think it's a male ballet step?

I think you may be talking about the "Barrel Turn"

Try to search up some videos and see if that's what you're talking about.

http://www.youtube.com/watch?v=tO1jIf8uekE&feature...

In the video linked above, barrel turns start at about 1:54.

EDIT:

The turns at :50 and 1:54 are different. The one at :50 are grand jete en tournant. The one at 1:54 are the barrel turns like I told you. :)

Coupe Jete

Angel is correct from what you are describing it sounds like a barrel tour (turn). My thumbs up for her answer.

Here you can see soloist Gennadi Saveliev of ABT doing the barrel at :52

http://www.youtube.com/watch?v=fjeHgvkKEjA

*EDIT for additional: Those are NOT barrel turns. Like Angel, that is what I thought too by the way you described them. After looking at your video clip, I can tell you those are just grand jete e tournant (a turn with a jete.) Therefore it is Abilena1 who is correct. The actual jete is done straight and they are tombe coupe jete. I think she answered after you posted your video link.

**Additional edit: Looks like Angel went back to this question too after your additional information video link. Her edit is the correct answer too.

I think you're talking about tombe coupe jetes. It's like they spin around and then jump into a leap (in a split position) and repeat.

A tour.